Question

Can you help me with this one ?

Answer 1

Answer: m=2; b=-3


Step-by-step explanation:

y = mx + b
(3,3) (4,5)
m = (y2-y1)/(x2-x1) = 5-3/4-3 = 2/1 = 2
replace m=2 into the equation:
y = 2x+b
Now replace (3,3) into the equation:
3 = 2(3) + b
Next you find b:
3 = 6 + b
3 - 6 = b
b = -3
Equation: y = 2x + (-3) or y = 2x -3

Answer 2

y = 2x-3

Step-by-step explanation:

We can use those 2 points given to solve for the slope (m) and for the y-intercept (b) in the equation y = mx+b

Slope:

(3,3) and (4,5)

m =
`(y2-y1)/(x2-x1)`

m =
`(5-3)/(4-3)`

m = 2

Y-intercept:

y = 2x+b

3 = 2(3) +b

3 = 6+b

b = -3

equation: y = 2x-3